The solar system is 25,000 light years from the center of our Milky Way galaxy. One light year is the distance light travels in one year at a speed of 3.0×108m/s. Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s. The approximate mass of the galactic center was calculated to be 1.88*1041 kg. Assume that the sun is a typical star with a typical mass. If galactic matter is made up of stars, approximately how many stars are in the center of the galaxy? Note : Astronomers have spent many years trying to determine how many stars there are in the Milky Way. The number of stars seems to be only about 10% of what you'll find in part d. In other words, about 90% of the mass of the galaxy appears to be in some form other than stars. This is called the dark matter of the universe. No one knows what the dark matter is. This is one of the outstanding scientific questions of our day.

A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 48,300 ly (light-years) from the galactic center and has a speed of 275 km/s. Estimate the total mass of the galaxy based on the motion of the star. Gravitational constant is 6.674×10−11 m3/(kg·s2) and mass of the Sun Ms=1.99 × 1030 kg.   dont provide hand written solution

The mass and radius of a planet are M and R, respectively. A satellite of mass m orbits the planet in an elliptical orbit. At its closest position, the altitude of the satellite is 0.5R and its velocity is v. What is the speed of the satellite (in terms of v) at its farthest position, where its altitude is 2R? 0.25v 0.55v 0.45v 0.30v 0.40v 0.60v 0.50v 0.35v

Find the kinetic energy for two masses, m1=(64±3)Kg and m2=(136±4)Kg, traveling together at a velocity v=(5.0±1.5)m/s. Hint: the equation for kinetic energy is E = 1/2mv^2, where m is the total mass (m1+m2).

The earth orbits the sun at an approximate velocity v = 30 km/s and radius r = 150*10^6 km. (a) Assuming a circular orbit for the earth, what is the approximate mass of the sun? (b) If the mass of the sun was doubled, what would the new length of a year be? Assume the Earth remains in circular orbit about the sun at its usual orbital radius. Answer in terms of current years. (Hint: you do not need to plug in the value of G.)

An object lying on Earth’s equator is accelerated (a) toward thecenter of Earth because Earth rotates, (b) toward the Sun becauseEarth revolves around the Sun in an almost circular orbit, and(c) toward the center of our galaxy because the Sun moves aroundthe galactic center. For the latter, the period is 2.5 * 10^8 y and theradius is 2.2 * 10^20 m. Calculate these three accelerations as multiplesof g = 9.8 m/s2.

Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is V = 240 km/s and the orbital period of each is 12.1 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) solar masses XCM M

Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.7 x 104 light years from its center. (For your calculations, assume that the galaxy's mass is concentrated near its center.) (a) What should the orbital period of that star be? yr (b) If its period is 5.2 x 10 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar masses

a planet moves in a circle around a massive star. If the planet is 7.2X10^10 m from the star, and the planet orbits the star in 67 days (=5.79X10^6 s), what is the mass of the star?

Plaskett's binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal (see figure below). Assume the orbital speed of each star is v| = 225 km/s and the orbital period of each is 11.6 days. Find the mass M of each star. (For comparison, the mass of our Sun is 1.99 x 1030 kg.) M XCM M Part 1 of 3 - Conceptualize From the given data, it is difficult to estimate a reasonable answer to this problem without working through the details and actually solving it. A reasonable guess might be that each star has a mass equal to or slightly larger than our Sun because fourteen days is short compared to the periods of all the Sun's planets. Part 2 of 3 - Categorize The only force acting on each star is the central gravitational force of attraction which results in a centripetal acceleration. When we solve Newton's second law, we can find the unknown mass in terms of the variables…